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Finding the Fourth Proportional to 13,202.57, 19,804.75 and 4,882.39

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Solution

The fourth proportional to 13,202.57, 19,804.75 and 4,882.39 is: 7,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.57 : 19,804.75 = 4,882.39 : x
  2. Step 2: Convert to fraction form
    13,202.57/19,804.75 = 4,882.39/x
  3. Step 3: Cross multiply
    13,202.57x = 19,804.75 × 4,882.39
  4. Step 4: Simplify right side
    13,202.57x = 96,694,451.63
  5. Step 5: Solve for x
    x = 96,694,451.63/13,202.57
  6. Step 6: Final answer
    x = 7,323.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.